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5008600 = 235279317
BaseRepresentation
bin10011000110110011011000
3100102110111201
4103012303120
52240233400
6255203544
760400222
oct23066330
910373451
105008600
112911043
1218165b4
13106498c
14945412
1568e06a
hex4c6cd8

5008600 has 48 divisors (see below), whose sum is σ = 11829600. Its totient is φ = 1971840.

The previous prime is 5008573. The next prime is 5008607. The reversal of 5008600 is 68005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15642 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (246450).

Almost surely, 25008600 is an apocalyptic number.

5008600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914800).

5008600 is an abundant number, since it is smaller than the sum of its proper divisors (6821000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5008600 is a wasteful number, since it uses less digits than its factorization.

5008600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5008600 is about 2237.9901697729. The cubic root of 5008600 is about 171.0955771335.

The spelling of 5008600 in words is "five million, eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 317 395 632 634 790 1268 1580 1585 1975 2536 3160 3170 3950 6340 7900 7925 12680 15800 15850 25043 31700 50086 63400 100172 125215 200344 250430 500860 626075 1001720 1252150 2504300 5008600